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Finding the Third Proportional to 174,163 and 260,569

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Solution

The third proportional to 174,163 and 260,569 is: 389,842.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,163 : 260,569 = 260,569 : x
  2. Step 2: Convert to fraction form
    174,163/260,569 = 260,569/x
  3. Step 3: Cross multiply
    174,163x = 260,569 × 260,569
  4. Step 4: Simplify right side
    174,163x = 67,896,203,761
  5. Step 5: Solve for x
    x = 67,896,203,761/174,163
  6. Step 6: Final answer
    x = 389,842.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.